Sokullu Mehmet Pasha mosque

• The symmetry group of the tiling is *2222 (pmm).
• All the internal angles of the constituent polygons are a multiple of 36°.
• Contains one regular pentagon.
• Contains one regular five-pointed star polygon with vertex angle of 36°.
• Contains two regular 10-pointed star polygons with vertex angle of 72°.
• There are 7 non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has no finite interlace and four infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 631 polygons.

1. Page 37 left (Sokullu Mehmet Pasha mosque, Turkey. No colour in original) of Daud Sutton. Islamic Design - a genius for geometry, Wooden books, London, 2007. ISBN 978190426359. [sutton]

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